Find the slope of the function.

Question

Jim's new car cost $305 per month for car payments.  He estimates it costs $.35 a mile for gas and maintenance.
        a)  Express the monthly cost as a function of miles.
        b)  Find the slope of the function.
        c)  What does it cost if he drives 1200 miles this month?

Answer 1

a)

The fixed cost is $305

The variable cost is $ 0.35

C (m)= 0.35 m + 305

b)

Slope is 0.35

c)

C (m)= 0.35 m + 305

m =1200 miles

C (m)= 0.35 (1200 )+ 305

           = $ 423.05